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A317255
a(n) = 149836681069944461 + (n-1)*1723457117682300.
0
149836681069944461, 151560138187626761, 153283595305309061, 155007052422991361, 156730509540673661, 158453966658355961, 160177423776038261, 161900880893720561, 163624338011402861, 165347795129085161, 167071252246767461, 168794709364449761, 170518166482132061
OFFSET
1,1
COMMENTS
The terms for n = 1..26 are prime. As of Jul 25 2018, this is one of the longest known sequences of primes in arithmetic progression.
LINKS
Jens Kruse Andersen, All known AP24 to AP26.
B. Green and T. Tao, The primes contain arbitrarily long arithmetic progressions, Annals of Math. 167 (2008), 481-547.
PrimeGrid, AP26 Search.
Eric Weisstein's World of Mathematics, Prime Arithmetic Progression.
EXAMPLE
a(26) = 149836681069944461 + 25*7725290*223092870 = 192923109012001961 is prime.
MAPLE
seq(149836681069944461+(n-1)*1723457117682300, n=1..25);
MATHEMATICA
Table[149836681069944461 + (n - 1) 1723457117682300, {n, 1, 25}]
PROG
(GAP) List([1..25], n->149836681069944461+(n-1)*1723457117682300);
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Marco Ripà, Jul 25 2018
STATUS
approved